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10639146 = 237432137
BaseRepresentation
bin101000100101…
…011100101010
3202000112011110
4220211130222
510210423041
61020011150
7156300630
oct50453452
922015143
1010639146
116007391
123690ab6
13228676b
1415ad350
15e02516
hexa2572a

10639146 has 48 divisors (see below), whose sum is σ = 25078464. Its totient is φ = 2947392.

The previous prime is 10639141. The next prime is 10639147. The reversal of 10639146 is 64193601.

It is a super-2 number, since 2×106391462 = 226382855218632, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10639141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77590 + ... + 77726.

It is an arithmetic number, because the mean of its divisors is an integer number (522468).

Almost surely, 210639146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10639146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12539232).

10639146 is an abundant number, since it is smaller than the sum of its proper divisors (14439318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10639146 is a wasteful number, since it uses less digits than its factorization.

10639146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 10639146 is about 3261.7703781842. The cubic root of 10639146 is about 219.9390051293.

The spelling of 10639146 in words is "ten million, six hundred thirty-nine thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 137 258 274 301 411 602 822 903 959 1806 1849 1918 2877 3698 5547 5754 5891 11094 11782 12943 17673 25886 35346 38829 41237 77658 82474 123711 247422 253313 506626 759939 1519878 1773191 3546382 5319573 10639146